question_answer

In the circuit shown, find C if the effective capacitance of the whole circuit is to be \[0.5\,\,\mu F.\]All values in the circuit are in \[\mu F.\] [JEE Main Online Paper Held On 12-Jan-2019 Evening]

A) \[\frac{6}{5}\mu F\]                              

B) \[4\mu F\]

C) \[\frac{7}{11}\mu F\]                

D)   \[\frac{7}{10}\mu F\]

Correct Answer: C

Solution :

The given circuit can be simplified as follows:             So,\[\frac{C\left( \frac{7}{3} \right)}{\frac{7}{3}+C}=\frac{5}{10}\Rightarrow C=\frac{7}{11}\mu F\]